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Finding the Fourth Proportional to 2,606.38, 3,596.48 and 2,076.61

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Solution

The fourth proportional to 2,606.38, 3,596.48 and 2,076.61 is: 2,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.38 : 3,596.48 = 2,076.61 : x
  2. Step 2: Convert to fraction form
    2,606.38/3,596.48 = 2,076.61/x
  3. Step 3: Cross multiply
    2,606.38x = 3,596.48 × 2,076.61
  4. Step 4: Simplify right side
    2,606.38x = 7,468,486.33
  5. Step 5: Solve for x
    x = 7,468,486.33/2,606.38
  6. Step 6: Final answer
    x = 2,865.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.